Calculation of end-turn leakage inductances of electrical machines using the edge element method

The end-turn leakage inductances of the armature winding of the permanent magnet motor have been calculated. In order to describe the magnetic field distribution the edge element method using vector magnetic potential has been applied. First, the formulae that describe the total self-inductance and total mutual conductance for phase windings are presented. Three-dimensional and two-dimensional formulations are considered. The end-turn leakage inductances have been obtained by comparing the results of these formulations. The symmetrical components transformation has been applied, and the self inductances and mutual inductances have been transformed into the zero-sequence and positive-sequence inductances. The calculations have been performed for different dimensions of the coil-end region. The influence of the position of the boundary surfaces on the results has been investigated.